Questions on Algebra: Exponent and logarithm as functions of power answered by real tutors!

Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)

Question 238983: In the equation P=C(1+r/n)^nt for compounding interest what does the ^ stand for and how would you calculate it if:
C= 3150
r=2
n=365
t=1

Click here to see answer by nerdybill(7384)

Question 239018: What percent of 7 is 0.04?
Click here to see answer by Theo(13342)

Question 239310: teacher wants 2 very different ways to transform/translate graph of
log(8-x)? I found one way using two steps, but I need a second way using 1 step.
log(-1)(x-8)= log(-1) + log(x-8)....log(x-8) is a horizontal shift to right, but log(-1) is not defined, so is this OK??
Click here to see answer by jsmallt9(3758)

Question 239388: four two x square minus DISABLED_event_one= eight xpower
Click here to see answer by nyc_function(2741)

Question 238089: log_x 100 = 1/2
log_x1024 = 10
Click here to see answer by jsmallt9(3758)

Question 239293: When light strikes the surface of a medium such as water or glass, its intensity decreases with depth. The beer-lambert-bougar law states that the percentage of decrease is the same for each additional unit of depth. In a certain lake, intensity decreases about 75% for each additionial meter of depth.
a) Explain why intensity I is an exponential function of depth d in meters
b) Use a formula to express intensity I as an exponential function of d. (use I0 to denote the initial intensity.)
c) Explain in practical terms the meaning of I0.
d) At what depth will the intensity of light be one tenth of the intensity of light striking the surface?
Click here to see answer by jsmallt9(3758)

Question 239558: I need help solving log base 5 x=3
Click here to see answer by Alan3354(69443)

Question 239516: for what value(s) of k does kt^2 - 6t + k = 0 have imaginary roots?
Click here to see answer by solver91311(24713)

Question 239772: An investment with an interest compounded continuously doubled itself in 12 years. What is the interest rate?
Click here to see answer by Theo(13342)

Question 239765: Solve for exact answer lnx = 11
Click here to see answer by Theo(13342)

Question 239904: the function A=Aoe-0.0077x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 700 punds of the material are placed in the vault, how much time will need to pass for only 150 pounds to remain?
Click here to see answer by jsmallt9(3758)

Question 239910: the function A=Aoe-0.0077x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 700 punds of the material are placed in the vault, how much time will need to pass for only 150 pounds to remain?
Click here to see answer by jsmallt9(3758)

Question 239899: State the domain and range of each function....
g(x)=ln(2x-1)
f(x)=1-e^x
Click here to see answer by jsmallt9(3758)

Question 239764: solve for an exact answer 4^(x+2) = 7^(3x)

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Question 240057: Can you simplify it?( no negative exponent)
(6x^3y^-4z^5)^-2
Can you find x?
square root of (64^x) = 256
Please help as soon as you can! Thanks
Click here to see answer by stanbon(75887)

Question 240558: What is 7 to the 4th power?
what is 10 to the 6th power?
Click here to see answer by rfer(16322)

Question 240582: i am really stumped here!
f(x)=e^2x
what is f(1/4)?
Click here to see answer by rapaljer(4671)

Question 240669: I am stumped, i know you plug in the bottom formula but trying to solve it has me confused
g(x)=x^2+3x

h(x)=(x+3)/2

find (h*g)(-1)

Click here to see answer by stanbon(75887)

Question 240807: log 8 (sqrt 8^9) = n
Click here to see answer by jsmallt9(3758)

Question 240807: log 8 (sqrt 8^9) = n
Click here to see answer by JimboP1977(311)

Question 240900: how do you solve e^x+7=98?
Click here to see answer by Earlsdon(6294)

Question 240966: how do negative exponents work?

Click here to see answer by checkley77(12844)

Question 241226: I'm unsure how to solve log2(square root of xy to the 3rd power)
Click here to see answer by Alan3354(69443)

Question 241746: 5e^.2x=7
Click here to see answer by nerdybill(7384)

Question 242212: Ok, i'm trying to do this problem but i'm having trouble figuring out how it works. I have the answer sheet but i can't figure out how they came up with this.
500/(1+2e^(-0.4x))=250
The next step is supposed to be 500=250+500e^(-0.4x)
But how do you get that second 500?
Click here to see answer by solver91311(24713)

Question 242236: How do you solve the problem for 10 years if t is time:
Oh and this is working with e as in the base of a natural log.
Click here to see answer by solver91311(24713)

Question 242918: simplify
log base a a8
a.a^8
b.8log base a a
c. 1
d.8
I chose d. Is this correct?
Click here to see answer by jim_thompson5910(35256)

Question 242916: Solve the exponenetial equation
3^(1+2x)=243
a)2
b)-2
c)6
d)81
I think the answer is A
Please let me know. thanks
Click here to see answer by jim_thompson5910(35256)

Question 242919: Express as a difference of logarithms
log base b 5/w
Is log base b 5-log base b w
the answer?
Click here to see answer by jim_thompson5910(35256)

Question 242917: 3^x+8=4x
a. -30.551
b.30.551
c.31.721
d.29.381
I think the answer is b. please let me know
Click here to see answer by jim_thompson5910(35256)

Question 241723: 17 e^x - 3=2
Click here to see answer by Alan3354(69443)

Question 242920: log 4x=log3+log(x+3)
Is the answer 9.
Click here to see answer by JimboP1977(311)

Question 243862: using A=P(1+r/n)^nt how long must $4700 be in a bank at 5% compounded annually to become $6944.04?
Click here to see answer by nerdybill(7384)

Question 244321: how do write 243 in
exponential notation
Click here to see answer by rfer(16322)

Question 244370: Please help me evaluate this expression:
log_2(8)^33
_=base 2
I hope this makes sense, thank you soo much for your help!!
Click here to see answer by nerdybill(7384)

Question 244629: what is 3 to the 27th power ?
Click here to see answer by College Student(505)

Question 244839:
I don't know where to start on this one.
I know it should be a log, but don't know how to set it up.
Click here to see answer by jim_thompson5910(35256)

Question 244851:
I started with:

then got:
Logx=2*x
don't know where to go from there
Click here to see answer by rapaljer(4671)

Question 245000: find the inverse of log(base 2) (x^5)
when i worked it out i got 2^x^5....but i didnt know if that could be simplified any further?
Click here to see answer by jim_thompson5910(35256)

Question 245029: Inx+In(2x+1)=0
plese explain how to do this in detail
Click here to see answer by stanbon(75887)

Question 245978: The function A=A0e^-0.01386x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 500 pounds of the material are placed in the vault, how much time will need to pass for only 63 pounds to remain?
Click here to see answer by stanbon(75887)

Question 245976: The population of a particular country was 29 million in 1980; in 1986, it was 37 million. The exponential growth function describes the population of this country t years after 1980. Use the facts that 6 years after 1980 the population increased by 8 million to find k to three decimal places.
Click here to see answer by nerdybill(7384)

Question 245975: The function A=130e^0.033t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 158 thousand?
Click here to see answer by nerdybill(7384)

Question 246039: The ratio of yes votes to no votes in an election was to . How many yes votes were cast if there were a total of votes cast?
Click here to see answer by checkley77(12844)

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